To solve this 4x4 Sudoku puzzle, we need to fill in the empty squares so that every row, every column, and every 2x2 block contains the numbers 1, 2, 3, and 4 exactly once.
Let's break it down step-by-step:
Step 1: Look at the top-left 2x2 block.
The numbers currently in this block are 1 and 2. The missing numbers are 3 and 4.
* Look at the first row (top row). It already has a 4 in it (in the third square). So, the first square of the top row cannot be 4. It must be
3.
* This means the remaining empty square in that top-left block (second row, second column) must be
4.
Now the grid looks like this:
Row 1:
3, 1, 4, 2
Row 2: 2,
4, 3, 1
Row 3: 1, 3, 2, 4
Row 4: 4, 2, ?, ?
Step 2: Check the rows we just filled.
* Row 1 is now: 3, 1, 4, 2. (Contains 1-4 uniquely. Correct.)
* Row 2 is now: 2, 4, 3, 1. (Contains 1-4 uniquely. Correct.)
Step 3: Solve the bottom row (Row 4).
The bottom row currently has 4 and 2. The missing numbers are 1 and 3.
* Look at the third column. It already contains 4, 3, and 2. The only number missing from that column is
1. So, the third square in the bottom row must be
1.
* Look at the fourth column. It already contains 2, 1, and 4. The only number missing from that column is
3. So, the last square in the bottom row must be
3.
Now the bottom row is: 4, 2,
1,
3.
Step 4: Final Verification.
Let's check the whole grid to make sure everything works.
*
Rows:
* Row 1: 3, 1, 4, 2 (OK)
* Row 2: 2, 4, 3, 1 (OK)
* Row 3: 1, 3, 2, 4 (OK - was already given)
* Row 4: 4, 2, 1, 3 (OK)
*
Columns:
* Col 1: 3, 2, 1, 4 (OK)
* Col 2: 1, 4, 3, 2 (OK)
* Col 3: 4, 3, 2, 1 (OK)
* Col 4: 2, 1, 4, 3 (OK)
*
Blocks (2x2 squares):
* Top-Left: 3,1 / 2,4 (OK)
* Top-Right: 4,2 / 3,1 (OK)
* Bottom-Left: 1,3 / 4,2 (OK)
* Bottom-Right: 2,4 / 1,3 (OK)
Everything fits perfectly!
Final Answer:
Here is the completed grid with the missing numbers filled in:
3 | 1 | 4 | 2
---|---|---|---
2 |
4 | 3 | 1
1 | 3 | 2 | 4
4 | 2 |
1 |
3
Parent Tip: Review the logic above to help your child master the concept of memorial day puzzles printable.